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Beliebt Rechnen >

integral of x\sqrt[3]{x^2}-3

Lösung

\int x 3 x^{2} - 3 d x

Lösung

\frac{3}{8} x^{\frac{8}{3}} - 3 x + C

Schritte zur Lösung

\int x 3 x^{2} - 3 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x 3 x^{2} d x - \int 3 d x

\int x 3 x^{2} d x = \frac{3}{8} x^{\frac{8}{3}}

\int 3 d x = 3 x

= \frac{3}{8} x^{\frac{8}{3}} - 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{3}{8} x^{\frac{8}{3}} - 3 x + C

Graph

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